Question

1) *y - 426 = 700*
2) *a/6 = 132*
3) *x² = 121*
4) *6x - 19 = 71*
5) *3n + 10 = 91*
6) *y/2 - 5= 11*
7) *2y/5 = 4*
8) *9 = 2x + 17*
9) *5x -3 = 2x - 9*
10) *4x - 8 = 2x + 6*
11) *x/3 + 4x = 39*
12) *x + x/2 = 12*
13) *x/4 -1 = 2 + x/10*
14) *5(x -3) = 2(x - 5)*
15) *2(2x - 4) = 5 - (x/2 +4)*
16) *x/2 + 4x = 15 - (-x - 6)*​

Answer 1

Resposta:

Respostas abaixo

Explicação passo-a-passo:

Vou colocar o desenvolvimento de cada questão, basta seguir os passos:

1) y - 426 = 700, y = 700 + 426, y = 1126

2) a/6 = 132, a = 132 . 6, a = 792

3) x² = 121, √x² = √121, x = 11

4) 6x - 19 = 71, 6x = 71 + 19, 6x = 90, x = 90/6, x = 15

5) 3n + 10 = 91, 3n = 91 - 10, 3n = 81, n = 81/3, n = 27

6) y/2 - 5 = 11, y/2 = 11 + 5, y/2 = 16, y = 16/2, y = 8

7) 2y/5 = 4, 2y = 4 . 5, 2y = 20, y = 20/2, y = 10

8) 9 = 2x + 17, 9 -17 = 2x, -8 = 2x, x = -8/2, x = -4

9) 5x -3 = 2x - 9, 5x - 2x = 3 - 9, 3x = -6, x = -6/3, x = -2

10) 4x - 8 = 2x + 6, 4x - 2x = 6 + 8, 2x = 14, x = 14/2, x = 7

11) x/3 + 4x = 39, (x/3 + 4x = 39)3, x + 12x = 117, 13x = 117, x = 117/13, x = 9

12) x + x/2 = 12, (x + x/2 = 12)2, 2x + x = 24, 3x = 24, x = 24/3, x = 8

13) x/4 -1 = 2 + x/10, x/4 - x/10 = 2 + 1, (5x - 2x)/20 = 3, 3x = 3 . 20, 3x = 60, x = 60/3, x = 20

14) 5(x - 3) = 2(x - 5), 5x - 15 = 2x - 10, 5x - 2x = 15 - 10, 3x = 5, x = 5/3

15) 2(2x - 4) = 5-(x/2 + 4), 4x - 8 = 5 - (x + 8)/2, 4x + (x + 8)/2 = 5 + 8, 4x + x + 8 = 13 . 2, 5x = 26 - 8, 5x = 18, x = 18/5

16) x/2 + 4x = 15 - (-x - 6), (x/2 + 4x = 15 - (-x - 6))2 = x + 8x = 30 - (-2x - 12), 9x = 30 + 2x + 12,  9x - 2x = 30 + 12, 7x = 42, x = 42/7, x = 6

Answer 2

Explicação passo-a-passo:

1)

y - 426 = 700

y = 700 + 426

y = 1126

2)

a/6 = 132

a = 6.132

a = 792

3)

x² = 121

x = ±√121

• x' = 11

• x" = -11

4)

6x - 19 = 71

6x = 71 + 19

6x = 90

x = 90/6

x = 15

5)

3n + 10 = 91

3n = 91 - 10

3n = 81

n = 81/3

n = 27

6)

y/2 - 5 = 11

y/2 = 11 + 5

y/2 = 16

y = 2.16

y = 32

7)

2y/5 = 4

2y = 5.4

2y = 20

y = 20/2

y = 10

8)

9 = 2x + 17

2x = 9 - 17

2x = -8

x = -8/2

x = -4

9)

5x - 3 = 2x - 9

5x - 2x = -9 + 3

3x = -6

x = -6/3

x = -2

10)

4x - 8 = 2x + 6

4x - 2x = 6 + 8

2x = 14

x = 14/2

x = 7

11)

x/3 + 4x = 39

x + 3.4x = 3.39

x + 12x = 117

13x = 117

x = 117/13

x = 9

12)

x + x/2 = 12

2x + x = 2.12

3x = 24

x = 24/3

x = 8

13)

x/4 - 1 = 2 + x/10

5x - 20 = 20.2 + 2x

5x - 20 = 40 + 2x

5x - 2x = 40 + 20

3x = 60

x = 60/3

x = 20

14)

5.(x - 3) = 2.(x - 5)

5x - 15 = 2x - 10

5x - 2x = -10 + 15

3x = 5

x = 5/3

15)

2.(2x - 4) = 5 - (x/2 + 4)

4x - 8 = 5 - x/2 - 4

4x + x/2 = 5 - 4 + 8

4x + x/2 = 9

2.4x + x = 2.9

8x + x = 18

9x = 18

x = 18/9

x = 2

16)

x/2 + 4x = 15 - (-x - 6)

x/2 + 4x = 15 + x + 6

x/2 + 4x = 21 + x

x/2 + 4x - x = 21

x/2 + 3x = 21

x + 2.3x = 2.21

x + 6x = 42

7x = 42

x = 42/7

x = 6